Maximum Subarray

Given an integer array nums, find the contiguous non-empty subarray within nums that has the largest sum.

Return the maximum possible subarray sum.

A subarray is a contiguous part of an array. Your solution should run in O(n) time.

Example 1
Inputnums = [-2,1,-3,4,-1,2,1,-5,4]
Output6
The subarray [4, -1, 2, 1] has the largest sum, which is 6.
Example 2
Inputnums = [1]
Output1
The only subarray is [1], so the maximum sum is 1.

Constraints

  • 1 <= nums.length <= 10^5
  • -10^4 <= nums[i] <= 10^4

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